BEGIN:VCALENDAR
VERSION:2.0
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
BEGIN:VEVENT
CATEGORIES:Academics,Lectures & conferences
DESCRIPTION:Abstract The eigenvalues of the fixed membrane problem (corresp
onding to the eigenvalues of the Dirichlet problem on a domain in Euclidean
space) satisfy tight universal and isoperimetric inequalities. In this col
loquium\, designed to be accessible to grad students\, I will survey severa
l problems of interest\, and show how the tools of integral transforms can
be used in combination with the tools of convex analysis\, and the Rayleigh
-Ritz principle\, to show universal Weyl-sharp inequalities for ratios and
averages of these eigenvalues. For wedge-like membranes\, and domains in a
convex cone\, one can in fact improve on the classical Faber-Krahn inequali
ty and prove weighted isoperimetric inequalities which improve on classical
results by recourse to the Weinstein interpretation in fractional space\,
and by introducing weighted forms of rearrangement à la Talenti.
DTEND:20221110T214500Z
DTSTAMP:20230528T171529Z
DTSTART:20221110T204500Z
GEO:25.756165;-80.374741
LOCATION:DM - Deuxieme Maison\, 409A
SEQUENCE:0
SUMMARY:Universal and Isoperimetric Inequalities for the Eigenvalues of the
Fixed Membrane Problem with Lotfi Hermi\, FIU Mathematics and Statistics
UID:tag:localist.com\,2008:EventInstance_41535924616895
URL:https://calendar.fiu.edu/event/universal_and_isoperimetric_inequalities
_for_the_eigenvalues_of_the_fixed_membrane_problem_with_lotfi_hermi_fiu_mat
hematics_and_statistics
END:VEVENT
END:VCALENDAR